Abstract: Frequency-domain methods in signal reconstruction problems rely on the sparsity of many real-world objects in frequency space. Conversely, in this letter, we investigate the solution set of ...

Abstract: We prove a robust converse barrier function theorem via the converse Lyapunov theory. While the use of a Lyapunov function as a barrier function is straightforward, the existence of a ...

Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a ...

This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans University. It gives a survey on the Painlevé test, Painlevé property and integrability. Both ...